Relativity without light: A new proof of Ignatowski's theorem

Jean Philippe Anker; François Ziegler

doi:10.1016/j.geomphys.2020.103871

Relativity without light: A new proof of Ignatowski's theorem

Jean Philippe Anker
, François Ziegler

Mathematical Sciences

Université d'Orléans
Georgia Southern University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Ignatowski (1910) showed that assumptions about light are not necessary to obtain Lorentzian kinematics as one of only few possibilities. We give a much simplified proof of his result as formulated by Gorini (1971) for n+1-dimensional space–time.

Original language	English
Article number	103871
Journal	Journal of Geometry and Physics
Volume	158
DOIs	https://doi.org/10.1016/j.geomphys.2020.103871
State	Published - Dec 2020

Scopus Subject Areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Keywords

Applications of Lie groups
Lorentz group
Special relativity

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10.1016/j.geomphys.2020.103871

Cite this

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title = "Relativity without light: A new proof of Ignatowski's theorem",

abstract = "Ignatowski (1910) showed that assumptions about light are not necessary to obtain Lorentzian kinematics as one of only few possibilities. We give a much simplified proof of his result as formulated by Gorini (1971) for n+1-dimensional space{\textendash}time.",

keywords = "Applications of Lie groups, Lorentz group, Special relativity",

author = "Anker, \{Jean Philippe\} and Fran{\c c}ois Ziegler",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = dec,

doi = "10.1016/j.geomphys.2020.103871",

language = "English",

volume = "158",

journal = "Journal of Geometry and Physics",

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T1 - Relativity without light

T2 - A new proof of Ignatowski's theorem

AU - Anker, Jean Philippe

AU - Ziegler, François

PY - 2020/12

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AB - Ignatowski (1910) showed that assumptions about light are not necessary to obtain Lorentzian kinematics as one of only few possibilities. We give a much simplified proof of his result as formulated by Gorini (1971) for n+1-dimensional space–time.

KW - Applications of Lie groups

KW - Lorentz group

KW - Special relativity

UR - https://www.scopus.com/pages/publications/85089740963

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DO - 10.1016/j.geomphys.2020.103871

M3 - Article

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SN - 0393-0440

VL - 158

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 103871

ER -

Relativity without light: A new proof of Ignatowski's theorem

Abstract

Scopus Subject Areas

Keywords

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